The quasi-periodic oscillations were studied as a tool for testing gravitational theories in a number of recent works [1]}-[2]}. The properties of the epicyclic frequencies depend strongly on the underlying spacetime and can lead to observational effects, which can differentiate between the alternative theories of gravity in the strong field regime. In some cases the interaction of the compact object with the astrophysical surroundings should be also taken into account since it can lead to similar effects [3]}. On the other hand, if the observational data is modeled correctly, the QPOs can provide evidence for the existence of more exotic compact objects like wormholes and naked singularities. Some investigations of broader classes of compact objects were performed including studies of the Kerr naked singularity [4]}, the Zipoy-Vorhees spacetime [5]}, and the Tomimatsu-Sato solution [6]}. The aim of our work is to study the quasi-periodic oscillations for a class of rotating traversable wormholes by applying the resonance models and to estimate some of their signatures, which can be important for the observations.
